A heating coil inside an electric kettle delivers 2.1 kW. of electric power to the water in the

step 1 So here on this problem we are given that the electric power of heating coil is 2 .1 kilowatt an

A heating coil inside an electric kettle delivers 2.1 kW. of...

A heating coil inside an electric kettle delivers $2.1 \mathrm{kW}$. of electric power to the water in the kettle. How long will it take to raise the temperature of $0.50 \mathrm{kg}$ of water from $20.0^{\circ} \mathrm{C}$ to $100.0^{\circ} \mathrm{C} ?$

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Key Concepts

Specific Heat Capacity

This is a property of a substance that quantifies the amount of heat required to change the temperature of a unit mass of the substance by one degree Celsius. In the context of the problem, it is used to calculate the energy needed to raise the water temperature, using the formula Q = m × c × ?T.

Electric Power

Electric power represents the rate at which energy is delivered or converted. In this problem, the power provided by the heating coil is used to determine how quickly the required thermal energy is supplied to the water, where energy per unit time is calculated using the relationship P = Q/t.

Energy Conservation and Heat Transfer

This concept involves understanding that energy delivered by the heating coil is absorbed by the water as heat, resulting in a temperature increase. The total energy required for the change in temperature is equated to the energy delivered over a period of time, linking the concepts of heat energy, power, and time.

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